| Title:
|
On the Choquet integrals associated to Bessel capacities (English) |
| Author:
|
Ooi, Keng Hao |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
72 |
| Issue:
|
2 |
| Year:
|
2022 |
| Pages:
|
433-447 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We characterize the Choquet integrals associated to Bessel capacities in terms of the preduals of the Sobolev multiplier spaces. We make use of the boundedness of local Hardy-Littlewood maximal function on the preduals of the Sobolev multiplier spaces and the minimax theorem as the main tools for the characterizations. (English) |
| Keyword:
|
Choquet integral |
| Keyword:
|
Bessel capacity |
| Keyword:
|
Hardy-Littlewood maximal function |
| MSC:
|
31C15 |
| MSC:
|
42B25 |
| idZBL:
|
Zbl 07547213 |
| idMR:
|
MR4412768 |
| DOI:
|
10.21136/CMJ.2021.0525-20 |
| . |
| Date available:
|
2022-04-21T19:01:47Z |
| Last updated:
|
2024-07-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/150410 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
[9] Ooi, K. H., Phuc, N. C.: Characterizations of predual spaces to a class of Sobolev multiplier type spaces.Available at https://arxiv.org/abs/2005.04349 (2020), 46 pages. MR 4360359 |
| Reference:
|
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| . |
